J & K CET Medical J & K - CET Medical Solved Paper-2009

  • question_answer
    The mutual electrostatic potential energy between two protons which are at a distance of \[9\times {{10}^{-15}}m,\,in{{\,}_{19}}{{\mathsf{U}}^{235}}\]nucleus is

    A) \[1.56\times {{10}^{-14}}J\]                        

    B) \[5.5\times {{10}^{-14}}J\]

    C) \[2.56\times {{10}^{-14}}J\]                        

    D) \[4.56\times {{10}^{-14}}J\]

    Correct Answer: C

    Solution :

                     Electrostatic potential energy\[U=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{r}\] Here, \[{{q}_{1}}={{q}_{2}}=1.6\times {{10}^{-19}}C\] and  \[r=9\times {{10}^{-15}}m\] \[\therefore \]\[U=\frac{9\times {{10}^{9}}\times 1.6\times {{10}^{-19}}\times 1.6\times {{10}^{-19}}}{9\times {{10}^{-15}}}\]                 \[=2.56\times {{10}^{-14}}J\]


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